[1] Gu Jianxin, Chan Siulai,. New tangent stiffness matrixfor geometrically nonlinear analysis of space frames [J]. Journal of Southeast University (English Edition), 2005, 21 (4): 480-485. [doi:10.3969/j.issn.1003-7985.2005.04.021]

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New tangent stiffness matrixfor geometrically nonlinear analysis of space frames()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

21

Issue:

2005 4

Page:

480-485

Research Field:

Civil Engineering

Publishing date:

2005-12-30

Info

Title:

New tangent stiffness matrixfor geometrically nonlinear analysis of space frames

Author(s):

Gu Jianxin¹;  Chan Siulai²

¹ Library, Southeast University, Nanjing 210096, China
²Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hong Kong, China

Keywords:

beam elements;  space frames;  tangent stiffness matrix;  flexural-torsional buckling;  second-order effects;  geometric nonlinearity

PACS:

TU323.5

DOI:

10.3969/j.issn.1003-7985.2005.04.021

Abstract:

A three-dimensional beam element is derived based on the principle of stationary total potential energy for geometrically nonlinear analysis of space frames.A new tangent stiffness matrix, which allows for high order effects of element deformations, replaces the conventional incremental secant stiffness matrix.Two deformation stiffness matrices due to the variation of axial force and bending moments are included in the tangent stiffness.They are functions of element deformations and incorporate the coupling among axial, lateral and torsional deformations.A correction matrix is added to the tangent stiffness matrix to make displacement derivatives equivalent to the commutative rotational degrees of freedom.Numerical examples show that the proposed element is accurate and efficient in predicting the nonlinear behavior, such as axial-torsional and flexural-torsional buckling, of space frames even when fewer elements are used to model a member.

References:

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Memo

Memo:

Biographies: Gu Jianxin(1961—), male, doctor, associate professor, gujx@seu.edu.cn;Chan Siulai(1957—), male, doctor, professor, ceslchan@polyu.edu.hk.

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